Existence and uniqueness of global solutions for non-autonomous evolution equations with state-dependent nonlocal conditions

被引：1
|
作者：
Zhu, Jianbo [1 ]
机构：
[1] Inner Mongolia Normal Univ, Coll Math Sci, Inner Mongolia Ctr Appl Math, Hohhot 010022, Peoples R China
来源：
FILOMAT | 2023年 / 37卷 / 03期
关键词：
Non-autonomous evolution equation; evolution operator; fixed point theorem; state-dependent nonlocal condition; ABSTRACT DIFFERENTIAL-EQUATIONS; INTEGRODIFFERENTIAL EQUATIONS; MILD SOLUTIONS; APPROXIMATE CONTROLLABILITY; PERIODIC-SOLUTIONS;
D O I：
10.2298/FIL2303745Z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the existence and uniqueness of global solutions for non-autonomous evolution equations with state-dependent nonlocal conditions, in which the undelayed part admits an evolution operator. We discuss the problems by utilizing theory of evolution operators, Schauder fixed point theorem and Banach fixed point theorem. Some new results on existence and uniqueness of solutions of the considered equation are obtained on the infinite internal [0, +oo). In the end, the obtained results are applied to a class of non-autonomous heat equations with state-dependent nonlocal conditions.
引用
收藏
页码：745 / 759
页数：15
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